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Finding the Fourth Proportional to 209,740.40, 314,486.16 and 83,312.66

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Solution

The fourth proportional to 209,740.40, 314,486.16 and 83,312.66 is: 124,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,740.40 : 314,486.16 = 83,312.66 : x
  2. Step 2: Convert to fraction form
    209,740.40/314,486.16 = 83,312.66/x
  3. Step 3: Cross multiply
    209,740.40x = 314,486.16 × 83,312.66
  4. Step 4: Simplify right side
    209,740.40x = 26,200,678,522.79
  5. Step 5: Solve for x
    x = 26,200,678,522.79/209,740.40
  6. Step 6: Final answer
    x = 124,919.56

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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.