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Finding the Fourth Proportional to 97,578, 134,657.67 and 52,866

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Solution

The fourth proportional to 97,578, 134,657.67 and 52,866 is: 72,955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,578 : 134,657.67 = 52,866 : x
  2. Step 2: Convert to fraction form
    97,578/134,657.67 = 52,866/x
  3. Step 3: Cross multiply
    97,578x = 134,657.67 × 52,866
  4. Step 4: Simplify right side
    97,578x = 7,118,812,382.22
  5. Step 5: Solve for x
    x = 7,118,812,382.22/97,578
  6. Step 6: Final answer
    x = 72,955.10

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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.