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Finding the Fourth Proportional to 130,653, 180,295.92 and 76,940.28

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Solution

The fourth proportional to 130,653, 180,295.92 and 76,940.28 is: 106,174.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,653 : 180,295.92 = 76,940.28 : x
  2. Step 2: Convert to fraction form
    130,653/180,295.92 = 76,940.28/x
  3. Step 3: Cross multiply
    130,653x = 180,295.92 × 76,940.28
  4. Step 4: Simplify right side
    130,653x = 13,872,018,567.66
  5. Step 5: Solve for x
    x = 13,872,018,567.66/130,653
  6. Step 6: Final answer
    x = 106,174.51

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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.