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Finding the Fourth Proportional to 153,016.57, 229,506.57 and 40,705

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Solution

The fourth proportional to 153,016.57, 229,506.57 and 40,705 is: 61,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,016.57 : 229,506.57 = 40,705 : x
  2. Step 2: Convert to fraction form
    153,016.57/229,506.57 = 40,705/x
  3. Step 3: Cross multiply
    153,016.57x = 229,506.57 × 40,705
  4. Step 4: Simplify right side
    153,016.57x = 9,342,064,931.85
  5. Step 5: Solve for x
    x = 9,342,064,931.85/153,016.57
  6. Step 6: Final answer
    x = 61,052.64

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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.