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Finding the Fourth Proportional to 77,099.40, 106,397.84 and 42,643.56

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Solution

The fourth proportional to 77,099.40, 106,397.84 and 42,643.56 is: 58,848.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,099.40 : 106,397.84 = 42,643.56 : x
  2. Step 2: Convert to fraction form
    77,099.40/106,397.84 = 42,643.56/x
  3. Step 3: Cross multiply
    77,099.40x = 106,397.84 × 42,643.56
  4. Step 4: Simplify right side
    77,099.40x = 4,537,182,141.92
  5. Step 5: Solve for x
    x = 4,537,182,141.92/77,099.40
  6. Step 6: Final answer
    x = 58,848.48

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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.