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Finding the Fourth Proportional to 130,168.84, 195,030.35 and 71,046

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Solution

The fourth proportional to 130,168.84, 195,030.35 and 71,046 is: 106,447.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,168.84 : 195,030.35 = 71,046 : x
  2. Step 2: Convert to fraction form
    130,168.84/195,030.35 = 71,046/x
  3. Step 3: Cross multiply
    130,168.84x = 195,030.35 × 71,046
  4. Step 4: Simplify right side
    130,168.84x = 13,856,126,246.10
  5. Step 5: Solve for x
    x = 13,856,126,246.10/130,168.84
  6. Step 6: Final answer
    x = 106,447.34

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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.