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Finding the Fourth Proportional to 86,602.50, 129,946.80 and 48,628.14

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Solution

The fourth proportional to 86,602.50, 129,946.80 and 48,628.14 is: 72,966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,602.50 : 129,946.80 = 48,628.14 : x
  2. Step 2: Convert to fraction form
    86,602.50/129,946.80 = 48,628.14/x
  3. Step 3: Cross multiply
    86,602.50x = 129,946.80 × 48,628.14
  4. Step 4: Simplify right side
    86,602.50x = 6,319,071,182.95
  5. Step 5: Solve for x
    x = 6,319,071,182.95/86,602.50
  6. Step 6: Final answer
    x = 72,966.38

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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.