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Finding the Fourth Proportional to 145,079.76, 200,210.18 and 81,417.56

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Solution

The fourth proportional to 145,079.76, 200,210.18 and 81,417.56 is: 112,356.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,079.76 : 200,210.18 = 81,417.56 : x
  2. Step 2: Convert to fraction form
    145,079.76/200,210.18 = 81,417.56/x
  3. Step 3: Cross multiply
    145,079.76x = 200,210.18 × 81,417.56
  4. Step 4: Simplify right side
    145,079.76x = 16,300,623,341.71
  5. Step 5: Solve for x
    x = 16,300,623,341.71/145,079.76
  6. Step 6: Final answer
    x = 112,356.29

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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.