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Finding the Fourth Proportional to 77,681.76, 107,192.08 and 43,689.48

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Solution

The fourth proportional to 77,681.76, 107,192.08 and 43,689.48 is: 60,286.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,681.76 : 107,192.08 = 43,689.48 : x
  2. Step 2: Convert to fraction form
    77,681.76/107,192.08 = 43,689.48/x
  3. Step 3: Cross multiply
    77,681.76x = 107,192.08 × 43,689.48
  4. Step 4: Simplify right side
    77,681.76x = 4,683,166,235.32
  5. Step 5: Solve for x
    x = 4,683,166,235.32/77,681.76
  6. Step 6: Final answer
    x = 60,286.56

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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.