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Finding the Fourth Proportional to 130,602.90, 195,904.40 and 86,219.28

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Solution

The fourth proportional to 130,602.90, 195,904.40 and 86,219.28 is: 129,328.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,602.90 : 195,904.40 = 86,219.28 : x
  2. Step 2: Convert to fraction form
    130,602.90/195,904.40 = 86,219.28/x
  3. Step 3: Cross multiply
    130,602.90x = 195,904.40 × 86,219.28
  4. Step 4: Simplify right side
    130,602.90x = 16,890,736,316.83
  5. Step 5: Solve for x
    x = 16,890,736,316.83/130,602.90
  6. Step 6: Final answer
    x = 129,328.95

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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.