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Finding the Fourth Proportional to 153,639, 230,460.12 and 42,831

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Solution

The fourth proportional to 153,639, 230,460.12 and 42,831 is: 64,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,639 : 230,460.12 = 42,831 : x
  2. Step 2: Convert to fraction form
    153,639/230,460.12 = 42,831/x
  3. Step 3: Cross multiply
    153,639x = 230,460.12 × 42,831
  4. Step 4: Simplify right side
    153,639x = 9,870,837,399.72
  5. Step 5: Solve for x
    x = 9,870,837,399.72/153,639
  6. Step 6: Final answer
    x = 64,246.95

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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.