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Finding the Fourth Proportional to 78,581.24, 117,871.86 and 64,701.08

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Solution

The fourth proportional to 78,581.24, 117,871.86 and 64,701.08 is: 97,051.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,581.24 : 117,871.86 = 64,701.08 : x
  2. Step 2: Convert to fraction form
    78,581.24/117,871.86 = 64,701.08/x
  3. Step 3: Cross multiply
    78,581.24x = 117,871.86 × 64,701.08
  4. Step 4: Simplify right side
    78,581.24x = 7,626,436,643.61
  5. Step 5: Solve for x
    x = 7,626,436,643.61/78,581.24
  6. Step 6: Final answer
    x = 97,051.62

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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.