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Finding the Fourth Proportional to 77,312.98, 106,743.30 and 59,375.93

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Solution

The fourth proportional to 77,312.98, 106,743.30 and 59,375.93 is: 81,978.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,312.98 : 106,743.30 = 59,375.93 : x
  2. Step 2: Convert to fraction form
    77,312.98/106,743.30 = 59,375.93/x
  3. Step 3: Cross multiply
    77,312.98x = 106,743.30 × 59,375.93
  4. Step 4: Simplify right side
    77,312.98x = 6,337,982,708.77
  5. Step 5: Solve for x
    x = 6,337,982,708.77/77,312.98
  6. Step 6: Final answer
    x = 81,978.25

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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.