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Finding the Fourth Proportional to 145,311.57, 200,547.90 and 81,648

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Solution

The fourth proportional to 145,311.57, 200,547.90 and 81,648 is: 112,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,311.57 : 200,547.90 = 81,648 : x
  2. Step 2: Convert to fraction form
    145,311.57/200,547.90 = 81,648/x
  3. Step 3: Cross multiply
    145,311.57x = 200,547.90 × 81,648
  4. Step 4: Simplify right side
    145,311.57x = 16,374,334,939.20
  5. Step 5: Solve for x
    x = 16,374,334,939.20/145,311.57
  6. Step 6: Final answer
    x = 112,684.32

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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.