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Finding the Fourth Proportional to 189,397.36, 284,259.12 and 77,140

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Solution

The fourth proportional to 189,397.36, 284,259.12 and 77,140 is: 115,776.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,397.36 : 284,259.12 = 77,140 : x
  2. Step 2: Convert to fraction form
    189,397.36/284,259.12 = 77,140/x
  3. Step 3: Cross multiply
    189,397.36x = 284,259.12 × 77,140
  4. Step 4: Simplify right side
    189,397.36x = 21,927,748,516.80
  5. Step 5: Solve for x
    x = 21,927,748,516.80/189,397.36
  6. Step 6: Final answer
    x = 115,776.42

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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.