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Finding the Fourth Proportional to 77,332.98, 106,714.44 and 45,495.72

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Solution

The fourth proportional to 77,332.98, 106,714.44 and 45,495.72 is: 62,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,332.98 : 106,714.44 = 45,495.72 : x
  2. Step 2: Convert to fraction form
    77,332.98/106,714.44 = 45,495.72/x
  3. Step 3: Cross multiply
    77,332.98x = 106,714.44 × 45,495.72
  4. Step 4: Simplify right side
    77,332.98x = 4,855,050,282.20
  5. Step 5: Solve for x
    x = 4,855,050,282.20/77,332.98
  6. Step 6: Final answer
    x = 62,781.11

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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.