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Finding the Fourth Proportional to 152,612.87, 228,952.11 and 51,420.98

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Solution

The fourth proportional to 152,612.87, 228,952.11 and 51,420.98 is: 77,142.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,612.87 : 228,952.11 = 51,420.98 : x
  2. Step 2: Convert to fraction form
    152,612.87/228,952.11 = 51,420.98/x
  3. Step 3: Cross multiply
    152,612.87x = 228,952.11 × 51,420.98
  4. Step 4: Simplify right side
    152,612.87x = 11,772,941,869.27
  5. Step 5: Solve for x
    x = 11,772,941,869.27/152,612.87
  6. Step 6: Final answer
    x = 77,142.52

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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.