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Finding the Fourth Proportional to 210,451.56, 315,643.32 and 77,298.90

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Solution

The fourth proportional to 210,451.56, 315,643.32 and 77,298.90 is: 115,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,451.56 : 315,643.32 = 77,298.90 : x
  2. Step 2: Convert to fraction form
    210,451.56/315,643.32 = 77,298.90/x
  3. Step 3: Cross multiply
    210,451.56x = 315,643.32 × 77,298.90
  4. Step 4: Simplify right side
    210,451.56x = 24,398,881,428.35
  5. Step 5: Solve for x
    x = 24,398,881,428.35/210,451.56
  6. Step 6: Final answer
    x = 115,935.85

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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.