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Finding the Fourth Proportional to 78,498.95, 118,271.88 and 71,011.20

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Solution

The fourth proportional to 78,498.95, 118,271.88 and 71,011.20 is: 106,990.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,498.95 : 118,271.88 = 71,011.20 : x
  2. Step 2: Convert to fraction form
    78,498.95/118,271.88 = 71,011.20/x
  3. Step 3: Cross multiply
    78,498.95x = 118,271.88 × 71,011.20
  4. Step 4: Simplify right side
    78,498.95x = 8,398,628,125.06
  5. Step 5: Solve for x
    x = 8,398,628,125.06/78,498.95
  6. Step 6: Final answer
    x = 106,990.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.