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Finding the Fourth Proportional to 102,516, 141,438.80 and 64,309.08

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Solution

The fourth proportional to 102,516, 141,438.80 and 64,309.08 is: 88,725.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,516 : 141,438.80 = 64,309.08 : x
  2. Step 2: Convert to fraction form
    102,516/141,438.80 = 64,309.08/x
  3. Step 3: Cross multiply
    102,516x = 141,438.80 × 64,309.08
  4. Step 4: Simplify right side
    102,516x = 9,095,799,104.30
  5. Step 5: Solve for x
    x = 9,095,799,104.30/102,516
  6. Step 6: Final answer
    x = 88,725.65

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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.