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Finding the Fourth Proportional to 140,557.86, 210,906.05 and 65,683.17

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Solution

The fourth proportional to 140,557.86, 210,906.05 and 65,683.17 is: 98,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,557.86 : 210,906.05 = 65,683.17 : x
  2. Step 2: Convert to fraction form
    140,557.86/210,906.05 = 65,683.17/x
  3. Step 3: Cross multiply
    140,557.86x = 210,906.05 × 65,683.17
  4. Step 4: Simplify right side
    140,557.86x = 13,852,977,607.76
  5. Step 5: Solve for x
    x = 13,852,977,607.76/140,557.86
  6. Step 6: Final answer
    x = 98,557.12

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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.