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Finding the Fourth Proportional to 139,671.40, 209,560.86 and 64,829.80

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Solution

The fourth proportional to 139,671.40, 209,560.86 and 64,829.80 is: 97,269.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,671.40 : 209,560.86 = 64,829.80 : x
  2. Step 2: Convert to fraction form
    139,671.40/209,560.86 = 64,829.80/x
  3. Step 3: Cross multiply
    139,671.40x = 209,560.86 × 64,829.80
  4. Step 4: Simplify right side
    139,671.40x = 13,585,788,641.63
  5. Step 5: Solve for x
    x = 13,585,788,641.63/139,671.40
  6. Step 6: Final answer
    x = 97,269.65

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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.