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Finding the Fourth Proportional to 97,689.40, 146,534.10 and 91,857.40

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Solution

The fourth proportional to 97,689.40, 146,534.10 and 91,857.40 is: 137,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,689.40 : 146,534.10 = 91,857.40 : x
  2. Step 2: Convert to fraction form
    97,689.40/146,534.10 = 91,857.40/x
  3. Step 3: Cross multiply
    97,689.40x = 146,534.10 × 91,857.40
  4. Step 4: Simplify right side
    97,689.40x = 13,460,241,437.34
  5. Step 5: Solve for x
    x = 13,460,241,437.34/97,689.40
  6. Step 6: Final answer
    x = 137,786.10

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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.