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Finding the Fourth Proportional to 292,051.90, 438,045.45 and 81,711.10

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Solution

The fourth proportional to 292,051.90, 438,045.45 and 81,711.10 is: 122,557.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,051.90 : 438,045.45 = 81,711.10 : x
  2. Step 2: Convert to fraction form
    292,051.90/438,045.45 = 81,711.10/x
  3. Step 3: Cross multiply
    292,051.90x = 438,045.45 × 81,711.10
  4. Step 4: Simplify right side
    292,051.90x = 35,793,175,569.50
  5. Step 5: Solve for x
    x = 35,793,175,569.50/292,051.90
  6. Step 6: Final answer
    x = 122,557.59

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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.