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Finding the Fourth Proportional to 209,411.70, 314,117.55 and 125,430.90

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Solution

The fourth proportional to 209,411.70, 314,117.55 and 125,430.90 is: 188,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,411.70 : 314,117.55 = 125,430.90 : x
  2. Step 2: Convert to fraction form
    209,411.70/314,117.55 = 125,430.90/x
  3. Step 3: Cross multiply
    209,411.70x = 314,117.55 × 125,430.90
  4. Step 4: Simplify right side
    209,411.70x = 39,400,047,002.30
  5. Step 5: Solve for x
    x = 39,400,047,002.30/209,411.70
  6. Step 6: Final answer
    x = 188,146.35

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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.