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Finding the Fourth Proportional to 152,523.95, 210,490.82 and 87,969.18

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Solution

The fourth proportional to 152,523.95, 210,490.82 and 87,969.18 is: 121,401.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,523.95 : 210,490.82 = 87,969.18 : x
  2. Step 2: Convert to fraction form
    152,523.95/210,490.82 = 87,969.18/x
  3. Step 3: Cross multiply
    152,523.95x = 210,490.82 × 87,969.18
  4. Step 4: Simplify right side
    152,523.95x = 18,516,704,832.93
  5. Step 5: Solve for x
    x = 18,516,704,832.93/152,523.95
  6. Step 6: Final answer
    x = 121,401.95

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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.