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Finding the Fourth Proportional to 145,230.08, 200,417.64 and 81,572

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Solution

The fourth proportional to 145,230.08, 200,417.64 and 81,572 is: 112,569.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,230.08 : 200,417.64 = 81,572 : x
  2. Step 2: Convert to fraction form
    145,230.08/200,417.64 = 81,572/x
  3. Step 3: Cross multiply
    145,230.08x = 200,417.64 × 81,572
  4. Step 4: Simplify right side
    145,230.08x = 16,348,467,730.08
  5. Step 5: Solve for x
    x = 16,348,467,730.08/145,230.08
  6. Step 6: Final answer
    x = 112,569.43

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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.