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Finding the Fourth Proportional to 98,732, 136,250.16 and 54,020

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Solution

The fourth proportional to 98,732, 136,250.16 and 54,020 is: 74,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,732 : 136,250.16 = 54,020 : x
  2. Step 2: Convert to fraction form
    98,732/136,250.16 = 54,020/x
  3. Step 3: Cross multiply
    98,732x = 136,250.16 × 54,020
  4. Step 4: Simplify right side
    98,732x = 7,360,233,643.20
  5. Step 5: Solve for x
    x = 7,360,233,643.20/98,732
  6. Step 6: Final answer
    x = 74,547.60

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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.