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Finding the Fourth Proportional to 77,566.38, 107,038.76 and 47,402.20

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Solution

The fourth proportional to 77,566.38, 107,038.76 and 47,402.20 is: 65,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,566.38 : 107,038.76 = 47,402.20 : x
  2. Step 2: Convert to fraction form
    77,566.38/107,038.76 = 47,402.20/x
  3. Step 3: Cross multiply
    77,566.38x = 107,038.76 × 47,402.20
  4. Step 4: Simplify right side
    77,566.38x = 5,073,872,709.27
  5. Step 5: Solve for x
    x = 5,073,872,709.27/77,566.38
  6. Step 6: Final answer
    x = 65,413.30

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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.