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Finding the Fourth Proportional to 231,507, 319,520.57 and 136,013.67

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Solution

The fourth proportional to 231,507, 319,520.57 and 136,013.67 is: 187,722.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,507 : 319,520.57 = 136,013.67 : x
  2. Step 2: Convert to fraction form
    231,507/319,520.57 = 136,013.67/x
  3. Step 3: Cross multiply
    231,507x = 319,520.57 × 136,013.67
  4. Step 4: Simplify right side
    231,507x = 43,459,164,686.12
  5. Step 5: Solve for x
    x = 43,459,164,686.12/231,507
  6. Step 6: Final answer
    x = 187,722.90

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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.