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Finding the Fourth Proportional to 152,490.38, 210,438 and 84,508.52

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Solution

The fourth proportional to 152,490.38, 210,438 and 84,508.52 is: 116,622.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,490.38 : 210,438 = 84,508.52 : x
  2. Step 2: Convert to fraction form
    152,490.38/210,438 = 84,508.52/x
  3. Step 3: Cross multiply
    152,490.38x = 210,438 × 84,508.52
  4. Step 4: Simplify right side
    152,490.38x = 17,783,803,931.76
  5. Step 5: Solve for x
    x = 17,783,803,931.76/152,490.38
  6. Step 6: Final answer
    x = 116,622.46

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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.