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Finding the Fourth Proportional to 120,147.84, 165,802.68 and 66,434.04

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Solution

The fourth proportional to 120,147.84, 165,802.68 and 66,434.04 is: 91,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,147.84 : 165,802.68 = 66,434.04 : x
  2. Step 2: Convert to fraction form
    120,147.84/165,802.68 = 66,434.04/x
  3. Step 3: Cross multiply
    120,147.84x = 165,802.68 × 66,434.04
  4. Step 4: Simplify right side
    120,147.84x = 11,014,941,875.23
  5. Step 5: Solve for x
    x = 11,014,941,875.23/120,147.84
  6. Step 6: Final answer
    x = 91,678.23

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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.