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Finding the Fourth Proportional to 145,264.93, 200,430.39 and 84,801

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Solution

The fourth proportional to 145,264.93, 200,430.39 and 84,801 is: 117,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,264.93 : 200,430.39 = 84,801 : x
  2. Step 2: Convert to fraction form
    145,264.93/200,430.39 = 84,801/x
  3. Step 3: Cross multiply
    145,264.93x = 200,430.39 × 84,801
  4. Step 4: Simplify right side
    145,264.93x = 16,996,697,502.39
  5. Step 5: Solve for x
    x = 16,996,697,502.39/145,264.93
  6. Step 6: Final answer
    x = 117,004.82

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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.