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Finding the Fourth Proportional to 97,537.92, 134,615.68 and 56,144

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Solution

The fourth proportional to 97,537.92, 134,615.68 and 56,144 is: 77,486.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,537.92 : 134,615.68 = 56,144 : x
  2. Step 2: Convert to fraction form
    97,537.92/134,615.68 = 56,144/x
  3. Step 3: Cross multiply
    97,537.92x = 134,615.68 × 56,144
  4. Step 4: Simplify right side
    97,537.92x = 7,557,862,737.92
  5. Step 5: Solve for x
    x = 7,557,862,737.92/97,537.92
  6. Step 6: Final answer
    x = 77,486.40

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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.