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Finding the Fourth Proportional to 124,547.78, 186,921.30 and 65,418.32

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Solution

The fourth proportional to 124,547.78, 186,921.30 and 65,418.32 is: 98,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,547.78 : 186,921.30 = 65,418.32 : x
  2. Step 2: Convert to fraction form
    124,547.78/186,921.30 = 65,418.32/x
  3. Step 3: Cross multiply
    124,547.78x = 186,921.30 × 65,418.32
  4. Step 4: Simplify right side
    124,547.78x = 12,228,078,130.84
  5. Step 5: Solve for x
    x = 12,228,078,130.84/124,547.78
  6. Step 6: Final answer
    x = 98,179.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.