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Finding the Fourth Proportional to 141,509.08, 195,283.08 and 76,978.32

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Solution

The fourth proportional to 141,509.08, 195,283.08 and 76,978.32 is: 106,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,509.08 : 195,283.08 = 76,978.32 : x
  2. Step 2: Convert to fraction form
    141,509.08/195,283.08 = 76,978.32/x
  3. Step 3: Cross multiply
    141,509.08x = 195,283.08 × 76,978.32
  4. Step 4: Simplify right side
    141,509.08x = 15,032,563,422.83
  5. Step 5: Solve for x
    x = 15,032,563,422.83/141,509.08
  6. Step 6: Final answer
    x = 106,230.38

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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.