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Finding the Fourth Proportional to 99,643,492.80, 149,488,858.80 and 51,128,834.40

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Solution

The fourth proportional to 99,643,492.80, 149,488,858.80 and 51,128,834.40 is: 76,705,371.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,643,492.80 : 149,488,858.80 = 51,128,834.40 : x
  2. Step 2: Convert to fraction form
    99,643,492.80/149,488,858.80 = 51,128,834.40/x
  3. Step 3: Cross multiply
    99,643,492.80x = 149,488,858.80 × 51,128,834.40
  4. Step 4: Simplify right side
    99,643,492.80x = 7,643,191,106,230,183
  5. Step 5: Solve for x
    x = 7,643,191,106,230,183/99,643,492.80
  6. Step 6: Final answer
    x = 76,705,371.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.