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Finding the Fourth Proportional to 103,547.88, 142,724 and 73,294.40

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Solution

The fourth proportional to 103,547.88, 142,724 and 73,294.40 is: 101,024.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,547.88 : 142,724 = 73,294.40 : x
  2. Step 2: Convert to fraction form
    103,547.88/142,724 = 73,294.40/x
  3. Step 3: Cross multiply
    103,547.88x = 142,724 × 73,294.40
  4. Step 4: Simplify right side
    103,547.88x = 10,460,869,945.60
  5. Step 5: Solve for x
    x = 10,460,869,945.60/103,547.88
  6. Step 6: Final answer
    x = 101,024.47

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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.