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Finding the Fourth Proportional to 189,948.42, 285,019.83 and 77,711.58

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Solution

The fourth proportional to 189,948.42, 285,019.83 and 77,711.58 is: 116,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,948.42 : 285,019.83 = 77,711.58 : x
  2. Step 2: Convert to fraction form
    189,948.42/285,019.83 = 77,711.58/x
  3. Step 3: Cross multiply
    189,948.42x = 285,019.83 × 77,711.58
  4. Step 4: Simplify right side
    189,948.42x = 22,149,341,320.63
  5. Step 5: Solve for x
    x = 22,149,341,320.63/189,948.42
  6. Step 6: Final answer
    x = 116,607.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.