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Finding the Fourth Proportional to 152,507.80, 228,761.70 and 122,983.30

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Solution

The fourth proportional to 152,507.80, 228,761.70 and 122,983.30 is: 184,474.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,507.80 : 228,761.70 = 122,983.30 : x
  2. Step 2: Convert to fraction form
    152,507.80/228,761.70 = 122,983.30/x
  3. Step 3: Cross multiply
    152,507.80x = 228,761.70 × 122,983.30
  4. Step 4: Simplify right side
    152,507.80x = 28,133,868,779.61
  5. Step 5: Solve for x
    x = 28,133,868,779.61/152,507.80
  6. Step 6: Final answer
    x = 184,474.95

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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.