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Finding the Fourth Proportional to 70,172.95, 96,838.53 and 38,342.08

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Solution

The fourth proportional to 70,172.95, 96,838.53 and 38,342.08 is: 52,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,172.95 : 96,838.53 = 38,342.08 : x
  2. Step 2: Convert to fraction form
    70,172.95/96,838.53 = 38,342.08/x
  3. Step 3: Cross multiply
    70,172.95x = 96,838.53 × 38,342.08
  4. Step 4: Simplify right side
    70,172.95x = 3,712,990,664.34
  5. Step 5: Solve for x
    x = 3,712,990,664.34/70,172.95
  6. Step 6: Final answer
    x = 52,911.99

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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.