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Finding the Fourth Proportional to 78,862.87, 118,293.65 and 19,698.15

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Solution

The fourth proportional to 78,862.87, 118,293.65 and 19,698.15 is: 29,547.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,862.87 : 118,293.65 = 19,698.15 : x
  2. Step 2: Convert to fraction form
    78,862.87/118,293.65 = 19,698.15/x
  3. Step 3: Cross multiply
    78,862.87x = 118,293.65 × 19,698.15
  4. Step 4: Simplify right side
    78,862.87x = 2,330,166,061.75
  5. Step 5: Solve for x
    x = 2,330,166,061.75/78,862.87
  6. Step 6: Final answer
    x = 29,547.06

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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.