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Finding the Fourth Proportional to 129,192.90, 193,706 and 61,688.40

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Solution

The fourth proportional to 129,192.90, 193,706 and 61,688.40 is: 92,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,192.90 : 193,706 = 61,688.40 : x
  2. Step 2: Convert to fraction form
    129,192.90/193,706 = 61,688.40/x
  3. Step 3: Cross multiply
    129,192.90x = 193,706 × 61,688.40
  4. Step 4: Simplify right side
    129,192.90x = 11,949,413,210.40
  5. Step 5: Solve for x
    x = 11,949,413,210.40/129,192.90
  6. Step 6: Final answer
    x = 92,492.80

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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.