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Finding the Fourth Proportional to 83,547, 115,294.86 and 45,821.34

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Solution

The fourth proportional to 83,547, 115,294.86 and 45,821.34 is: 63,233.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547 : 115,294.86 = 45,821.34 : x
  2. Step 2: Convert to fraction form
    83,547/115,294.86 = 45,821.34/x
  3. Step 3: Cross multiply
    83,547x = 115,294.86 × 45,821.34
  4. Step 4: Simplify right side
    83,547x = 5,282,964,980.31
  5. Step 5: Solve for x
    x = 5,282,964,980.31/83,547
  6. Step 6: Final answer
    x = 63,233.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.