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Finding the Fourth Proportional to 77,812.60, 107,379.92 and 47,595.70

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Solution

The fourth proportional to 77,812.60, 107,379.92 and 47,595.70 is: 65,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,812.60 : 107,379.92 = 47,595.70 : x
  2. Step 2: Convert to fraction form
    77,812.60/107,379.92 = 47,595.70/x
  3. Step 3: Cross multiply
    77,812.60x = 107,379.92 × 47,595.70
  4. Step 4: Simplify right side
    77,812.60x = 5,110,822,458.34
  5. Step 5: Solve for x
    x = 5,110,822,458.34/77,812.60
  6. Step 6: Final answer
    x = 65,681.17

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1.5x scale

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.