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Finding the Fourth Proportional to 130,042.40, 194,929.20 and 70,752.80

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Solution

The fourth proportional to 130,042.40, 194,929.20 and 70,752.80 is: 106,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,042.40 : 194,929.20 = 70,752.80 : x
  2. Step 2: Convert to fraction form
    130,042.40/194,929.20 = 70,752.80/x
  3. Step 3: Cross multiply
    130,042.40x = 194,929.20 × 70,752.80
  4. Step 4: Simplify right side
    130,042.40x = 13,791,786,701.76
  5. Step 5: Solve for x
    x = 13,791,786,701.76/130,042.40
  6. Step 6: Final answer
    x = 106,056.08

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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.