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Finding the Fourth Proportional to 70,678.95, 97,538.81 and 38,848.70

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Solution

The fourth proportional to 70,678.95, 97,538.81 and 38,848.70 is: 53,612.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,678.95 : 97,538.81 = 38,848.70 : x
  2. Step 2: Convert to fraction form
    70,678.95/97,538.81 = 38,848.70/x
  3. Step 3: Cross multiply
    70,678.95x = 97,538.81 × 38,848.70
  4. Step 4: Simplify right side
    70,678.95x = 3,789,255,968.05
  5. Step 5: Solve for x
    x = 3,789,255,968.05/70,678.95
  6. Step 6: Final answer
    x = 53,612.23

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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.