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Finding the Fourth Proportional to 145,079.64, 200,210.01 and 81,417.43

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Solution

The fourth proportional to 145,079.64, 200,210.01 and 81,417.43 is: 112,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,079.64 : 200,210.01 = 81,417.43 : x
  2. Step 2: Convert to fraction form
    145,079.64/200,210.01 = 81,417.43/x
  3. Step 3: Cross multiply
    145,079.64x = 200,210.01 × 81,417.43
  4. Step 4: Simplify right side
    145,079.64x = 16,300,583,973.95
  5. Step 5: Solve for x
    x = 16,300,583,973.95/145,079.64
  6. Step 6: Final answer
    x = 112,356.11

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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.