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Finding the Fourth Proportional to 100,117.78, 138,148.90 and 59,823.02

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Solution

The fourth proportional to 100,117.78, 138,148.90 and 59,823.02 is: 82,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,117.78 : 138,148.90 = 59,823.02 : x
  2. Step 2: Convert to fraction form
    100,117.78/138,148.90 = 59,823.02/x
  3. Step 3: Cross multiply
    100,117.78x = 138,148.90 × 59,823.02
  4. Step 4: Simplify right side
    100,117.78x = 8,264,484,603.49
  5. Step 5: Solve for x
    x = 8,264,484,603.49/100,117.78
  6. Step 6: Final answer
    x = 82,547.62

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1.5x scale

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.