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Finding the Fourth Proportional to 140,566.40, 210,878.40 and 47,139.20

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Solution

The fourth proportional to 140,566.40, 210,878.40 and 47,139.20 is: 70,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,566.40 : 210,878.40 = 47,139.20 : x
  2. Step 2: Convert to fraction form
    140,566.40/210,878.40 = 47,139.20/x
  3. Step 3: Cross multiply
    140,566.40x = 210,878.40 × 47,139.20
  4. Step 4: Simplify right side
    140,566.40x = 9,940,639,073.28
  5. Step 5: Solve for x
    x = 9,940,639,073.28/140,566.40
  6. Step 6: Final answer
    x = 70,718.46

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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.