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Finding the Fourth Proportional to 97,301.34, 134,290.71 and 70,434

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Solution

The fourth proportional to 97,301.34, 134,290.71 and 70,434 is: 97,209.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,301.34 : 134,290.71 = 70,434 : x
  2. Step 2: Convert to fraction form
    97,301.34/134,290.71 = 70,434/x
  3. Step 3: Cross multiply
    97,301.34x = 134,290.71 × 70,434
  4. Step 4: Simplify right side
    97,301.34x = 9,458,631,868.14
  5. Step 5: Solve for x
    x = 9,458,631,868.14/97,301.34
  6. Step 6: Final answer
    x = 97,209.68

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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.