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Finding the Fourth Proportional to 145,838.88, 201,242.88 and 84,564

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Solution

The fourth proportional to 145,838.88, 201,242.88 and 84,564 is: 116,689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838.88 : 201,242.88 = 84,564 : x
  2. Step 2: Convert to fraction form
    145,838.88/201,242.88 = 84,564/x
  3. Step 3: Cross multiply
    145,838.88x = 201,242.88 × 84,564
  4. Step 4: Simplify right side
    145,838.88x = 17,017,902,904.32
  5. Step 5: Solve for x
    x = 17,017,902,904.32/145,838.88
  6. Step 6: Final answer
    x = 116,689.75

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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.