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Finding the Fourth Proportional to 101,981.48, 152,750.40 and 49,280

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Solution

The fourth proportional to 101,981.48, 152,750.40 and 49,280 is: 73,812.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,981.48 : 152,750.40 = 49,280 : x
  2. Step 2: Convert to fraction form
    101,981.48/152,750.40 = 49,280/x
  3. Step 3: Cross multiply
    101,981.48x = 152,750.40 × 49,280
  4. Step 4: Simplify right side
    101,981.48x = 7,527,539,712
  5. Step 5: Solve for x
    x = 7,527,539,712/101,981.48
  6. Step 6: Final answer
    x = 73,812.81

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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.