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Finding the Fourth Proportional to 209,138.88, 288,547.92 and 118,480.32

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Solution

The fourth proportional to 209,138.88, 288,547.92 and 118,480.32 is: 163,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,138.88 : 288,547.92 = 118,480.32 : x
  2. Step 2: Convert to fraction form
    209,138.88/288,547.92 = 118,480.32/x
  3. Step 3: Cross multiply
    209,138.88x = 288,547.92 × 118,480.32
  4. Step 4: Simplify right side
    209,138.88x = 34,187,249,896.93
  5. Step 5: Solve for x
    x = 34,187,249,896.93/209,138.88
  6. Step 6: Final answer
    x = 163,466.74

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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.