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Finding the Fourth Proportional to 131,465, 181,421.70 and 74,909.18

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Solution

The fourth proportional to 131,465, 181,421.70 and 74,909.18 is: 103,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,465 : 181,421.70 = 74,909.18 : x
  2. Step 2: Convert to fraction form
    131,465/181,421.70 = 74,909.18/x
  3. Step 3: Cross multiply
    131,465x = 181,421.70 × 74,909.18
  4. Step 4: Simplify right side
    131,465x = 13,590,150,781.21
  5. Step 5: Solve for x
    x = 13,590,150,781.21/131,465
  6. Step 6: Final answer
    x = 103,374.67

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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.