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Finding the Fourth Proportional to 71,262.81, 106,931.10 and 51,702.81

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Solution

The fourth proportional to 71,262.81, 106,931.10 and 51,702.81 is: 77,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,262.81 : 106,931.10 = 51,702.81 : x
  2. Step 2: Convert to fraction form
    71,262.81/106,931.10 = 51,702.81/x
  3. Step 3: Cross multiply
    71,262.81x = 106,931.10 × 51,702.81
  4. Step 4: Simplify right side
    71,262.81x = 5,528,638,346.39
  5. Step 5: Solve for x
    x = 5,528,638,346.39/71,262.81
  6. Step 6: Final answer
    x = 77,580.98

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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.