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Finding the Fourth Proportional to 70,783.18, 97,678.34 and 38,949.10

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Solution

The fourth proportional to 70,783.18, 97,678.34 and 38,949.10 is: 53,748.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.18 : 97,678.34 = 38,949.10 : x
  2. Step 2: Convert to fraction form
    70,783.18/97,678.34 = 38,949.10/x
  3. Step 3: Cross multiply
    70,783.18x = 97,678.34 × 38,949.10
  4. Step 4: Simplify right side
    70,783.18x = 3,804,483,432.49
  5. Step 5: Solve for x
    x = 3,804,483,432.49/70,783.18
  6. Step 6: Final answer
    x = 53,748.41

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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.