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Finding the Fourth Proportional to 132,346, 182,637.48 and 72,730

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Solution

The fourth proportional to 132,346, 182,637.48 and 72,730 is: 100,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,346 : 182,637.48 = 72,730 : x
  2. Step 2: Convert to fraction form
    132,346/182,637.48 = 72,730/x
  3. Step 3: Cross multiply
    132,346x = 182,637.48 × 72,730
  4. Step 4: Simplify right side
    132,346x = 13,283,223,920.40
  5. Step 5: Solve for x
    x = 13,283,223,920.40/132,346
  6. Step 6: Final answer
    x = 100,367.40

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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.