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Finding the Fourth Proportional to 130,712, 195,818.02 and 88,384.34

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Solution

The fourth proportional to 130,712, 195,818.02 and 88,384.34 is: 132,407.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,712 : 195,818.02 = 88,384.34 : x
  2. Step 2: Convert to fraction form
    130,712/195,818.02 = 88,384.34/x
  3. Step 3: Cross multiply
    130,712x = 195,818.02 × 88,384.34
  4. Step 4: Simplify right side
    130,712x = 17,307,246,457.81
  5. Step 5: Solve for x
    x = 17,307,246,457.81/130,712
  6. Step 6: Final answer
    x = 132,407.48

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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.