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Finding the Fourth Proportional to 185,852.81, 256,482.13 and 105,280.31

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Solution

The fourth proportional to 185,852.81, 256,482.13 and 105,280.31 is: 145,289.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,852.81 : 256,482.13 = 105,280.31 : x
  2. Step 2: Convert to fraction form
    185,852.81/256,482.13 = 105,280.31/x
  3. Step 3: Cross multiply
    185,852.81x = 256,482.13 × 105,280.31
  4. Step 4: Simplify right side
    185,852.81x = 27,002,518,533.86
  5. Step 5: Solve for x
    x = 27,002,518,533.86/185,852.81
  6. Step 6: Final answer
    x = 145,289.80

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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.