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Finding the Fourth Proportional to 140,730.74, 211,097.19 and 40,897.70

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Solution

The fourth proportional to 140,730.74, 211,097.19 and 40,897.70 is: 61,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,730.74 : 211,097.19 = 40,897.70 : x
  2. Step 2: Convert to fraction form
    140,730.74/211,097.19 = 40,897.70/x
  3. Step 3: Cross multiply
    140,730.74x = 211,097.19 × 40,897.70
  4. Step 4: Simplify right side
    140,730.74x = 8,633,389,547.46
  5. Step 5: Solve for x
    x = 8,633,389,547.46/140,730.74
  6. Step 6: Final answer
    x = 61,346.86

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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.