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Finding the Fourth Proportional to 213,970.32, 295,289.16 and 129,085.56

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Solution

The fourth proportional to 213,970.32, 295,289.16 and 129,085.56 is: 178,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,970.32 : 295,289.16 = 129,085.56 : x
  2. Step 2: Convert to fraction form
    213,970.32/295,289.16 = 129,085.56/x
  3. Step 3: Cross multiply
    213,970.32x = 295,289.16 × 129,085.56
  4. Step 4: Simplify right side
    213,970.32x = 38,117,566,580.53
  5. Step 5: Solve for x
    x = 38,117,566,580.53/213,970.32
  6. Step 6: Final answer
    x = 178,144.18

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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.