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Finding the Fourth Proportional to 77,897.30, 107,463.11 and 47,670.53

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Solution

The fourth proportional to 77,897.30, 107,463.11 and 47,670.53 is: 65,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,897.30 : 107,463.11 = 47,670.53 : x
  2. Step 2: Convert to fraction form
    77,897.30/107,463.11 = 47,670.53/x
  3. Step 3: Cross multiply
    77,897.30x = 107,463.11 × 47,670.53
  4. Step 4: Simplify right side
    77,897.30x = 5,122,822,633.48
  5. Step 5: Solve for x
    x = 5,122,822,633.48/77,897.30
  6. Step 6: Final answer
    x = 65,763.81

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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.