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Finding the Fourth Proportional to 153,378.83, 230,123.61 and 53,553.74

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Solution

The fourth proportional to 153,378.83, 230,123.61 and 53,553.74 is: 80,349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,378.83 : 230,123.61 = 53,553.74 : x
  2. Step 2: Convert to fraction form
    153,378.83/230,123.61 = 53,553.74/x
  3. Step 3: Cross multiply
    153,378.83x = 230,123.61 × 53,553.74
  4. Step 4: Simplify right side
    153,378.83x = 12,323,978,827.18
  5. Step 5: Solve for x
    x = 12,323,978,827.18/153,378.83
  6. Step 6: Final answer
    x = 80,349.93

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1.5x scale

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.