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Finding the Fourth Proportional to 145,856.13, 218,784.20 and 47,360.13

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Solution

The fourth proportional to 145,856.13, 218,784.20 and 47,360.13 is: 71,040.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,856.13 : 218,784.20 = 47,360.13 : x
  2. Step 2: Convert to fraction form
    145,856.13/218,784.20 = 47,360.13/x
  3. Step 3: Cross multiply
    145,856.13x = 218,784.20 × 47,360.13
  4. Step 4: Simplify right side
    145,856.13x = 10,361,648,153.95
  5. Step 5: Solve for x
    x = 10,361,648,153.95/145,856.13
  6. Step 6: Final answer
    x = 71,040.20

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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.