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Finding the Fourth Proportional to 97,346.78, 146,020.17 and 38,210.30

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Solution

The fourth proportional to 97,346.78, 146,020.17 and 38,210.30 is: 57,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,346.78 : 146,020.17 = 38,210.30 : x
  2. Step 2: Convert to fraction form
    97,346.78/146,020.17 = 38,210.30/x
  3. Step 3: Cross multiply
    97,346.78x = 146,020.17 × 38,210.30
  4. Step 4: Simplify right side
    97,346.78x = 5,579,474,501.75
  5. Step 5: Solve for x
    x = 5,579,474,501.75/97,346.78
  6. Step 6: Final answer
    x = 57,315.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.