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Finding the Fourth Proportional to 155,364.20, 232,931.10 and 105,319.40

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Solution

The fourth proportional to 155,364.20, 232,931.10 and 105,319.40 is: 157,901.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,364.20 : 232,931.10 = 105,319.40 : x
  2. Step 2: Convert to fraction form
    155,364.20/232,931.10 = 105,319.40/x
  3. Step 3: Cross multiply
    155,364.20x = 232,931.10 × 105,319.40
  4. Step 4: Simplify right side
    155,364.20x = 24,532,163,693.34
  5. Step 5: Solve for x
    x = 24,532,163,693.34/155,364.20
  6. Step 6: Final answer
    x = 157,901.01

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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.