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Finding the Fourth Proportional to 130,065.80, 195,098.70 and 31,569.80

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Solution

The fourth proportional to 130,065.80, 195,098.70 and 31,569.80 is: 47,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,065.80 : 195,098.70 = 31,569.80 : x
  2. Step 2: Convert to fraction form
    130,065.80/195,098.70 = 31,569.80/x
  3. Step 3: Cross multiply
    130,065.80x = 195,098.70 × 31,569.80
  4. Step 4: Simplify right side
    130,065.80x = 6,159,226,939.26
  5. Step 5: Solve for x
    x = 6,159,226,939.26/130,065.80
  6. Step 6: Final answer
    x = 47,354.70

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1.5x scale

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.