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Finding the Fourth Proportional to 105,313.24, 157,978.50 and 52,718.68

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Solution

The fourth proportional to 105,313.24, 157,978.50 and 52,718.68 is: 79,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,313.24 : 157,978.50 = 52,718.68 : x
  2. Step 2: Convert to fraction form
    105,313.24/157,978.50 = 52,718.68/x
  3. Step 3: Cross multiply
    105,313.24x = 157,978.50 × 52,718.68
  4. Step 4: Simplify right side
    105,313.24x = 8,328,417,988.38
  5. Step 5: Solve for x
    x = 8,328,417,988.38/105,313.24
  6. Step 6: Final answer
    x = 79,082.35

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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.