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Finding the Fourth Proportional to 70,645.34, 97,490.49 and 38,814.16

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Solution

The fourth proportional to 70,645.34, 97,490.49 and 38,814.16 is: 53,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,645.34 : 97,490.49 = 38,814.16 : x
  2. Step 2: Convert to fraction form
    70,645.34/97,490.49 = 38,814.16/x
  3. Step 3: Cross multiply
    70,645.34x = 97,490.49 × 38,814.16
  4. Step 4: Simplify right side
    70,645.34x = 3,784,011,477.34
  5. Step 5: Solve for x
    x = 3,784,011,477.34/70,645.34
  6. Step 6: Final answer
    x = 53,563.50

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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.