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Finding the Fourth Proportional to 102,406.70, 141,307.29 and 57,079.31

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Solution

The fourth proportional to 102,406.70, 141,307.29 and 57,079.31 is: 78,761.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406.70 : 141,307.29 = 57,079.31 : x
  2. Step 2: Convert to fraction form
    102,406.70/141,307.29 = 57,079.31/x
  3. Step 3: Cross multiply
    102,406.70x = 141,307.29 × 57,079.31
  4. Step 4: Simplify right side
    102,406.70x = 8,065,721,904.63
  5. Step 5: Solve for x
    x = 8,065,721,904.63/102,406.70
  6. Step 6: Final answer
    x = 78,761.66

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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.