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Finding the Fourth Proportional to 152,607.40, 228,932.70 and 47,415.40

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Solution

The fourth proportional to 152,607.40, 228,932.70 and 47,415.40 is: 71,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,607.40 : 228,932.70 = 47,415.40 : x
  2. Step 2: Convert to fraction form
    152,607.40/228,932.70 = 47,415.40/x
  3. Step 3: Cross multiply
    152,607.40x = 228,932.70 × 47,415.40
  4. Step 4: Simplify right side
    152,607.40x = 10,854,935,543.58
  5. Step 5: Solve for x
    x = 10,854,935,543.58/152,607.40
  6. Step 6: Final answer
    x = 71,129.81

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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.