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Finding the Fourth Proportional to 209,237.40, 288,744.21 and 113,746.50

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Solution

The fourth proportional to 209,237.40, 288,744.21 and 113,746.50 is: 156,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,237.40 : 288,744.21 = 113,746.50 : x
  2. Step 2: Convert to fraction form
    209,237.40/288,744.21 = 113,746.50/x
  3. Step 3: Cross multiply
    209,237.40x = 288,744.21 × 113,746.50
  4. Step 4: Simplify right side
    209,237.40x = 32,843,643,282.77
  5. Step 5: Solve for x
    x = 32,843,643,282.77/209,237.40
  6. Step 6: Final answer
    x = 156,968.32

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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.