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Finding the Fourth Proportional to 145,510.71, 200,803.32 and 80,978.87

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Solution

The fourth proportional to 145,510.71, 200,803.32 and 80,978.87 is: 111,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,510.71 : 200,803.32 = 80,978.87 : x
  2. Step 2: Convert to fraction form
    145,510.71/200,803.32 = 80,978.87/x
  3. Step 3: Cross multiply
    145,510.71x = 200,803.32 × 80,978.87
  4. Step 4: Simplify right side
    145,510.71x = 16,260,824,941.83
  5. Step 5: Solve for x
    x = 16,260,824,941.83/145,510.71
  6. Step 6: Final answer
    x = 111,750.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.