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Finding the Fourth Proportional to 154,386, 213,052.68 and 83,730

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Solution

The fourth proportional to 154,386, 213,052.68 and 83,730 is: 115,547.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,386 : 213,052.68 = 83,730 : x
  2. Step 2: Convert to fraction form
    154,386/213,052.68 = 83,730/x
  3. Step 3: Cross multiply
    154,386x = 213,052.68 × 83,730
  4. Step 4: Simplify right side
    154,386x = 17,838,900,896.40
  5. Step 5: Solve for x
    x = 17,838,900,896.40/154,386
  6. Step 6: Final answer
    x = 115,547.40

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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.