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Finding the Fourth Proportional to 114,354.20, 157,750.74 and 78,028.40

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Solution

The fourth proportional to 114,354.20, 157,750.74 and 78,028.40 is: 107,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,354.20 : 157,750.74 = 78,028.40 : x
  2. Step 2: Convert to fraction form
    114,354.20/157,750.74 = 78,028.40/x
  3. Step 3: Cross multiply
    114,354.20x = 157,750.74 × 78,028.40
  4. Step 4: Simplify right side
    114,354.20x = 12,309,037,841.02
  5. Step 5: Solve for x
    x = 12,309,037,841.02/114,354.20
  6. Step 6: Final answer
    x = 107,639.58

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1.5x scale

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.