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Finding the Fourth Proportional to 77,297,947.40, 106,672,492.50 and 42,492,104.84

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Solution

The fourth proportional to 77,297,947.40, 106,672,492.50 and 42,492,104.84 is: 58,639,833.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,297,947.40 : 106,672,492.50 = 42,492,104.84 : x
  2. Step 2: Convert to fraction form
    77,297,947.40/106,672,492.50 = 42,492,104.84/x
  3. Step 3: Cross multiply
    77,297,947.40x = 106,672,492.50 × 42,492,104.84
  4. Step 4: Simplify right side
    77,297,947.40x = 4,532,738,734,854,114
  5. Step 5: Solve for x
    x = 4,532,738,734,854,114/77,297,947.40
  6. Step 6: Final answer
    x = 58,639,833.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.