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Finding the Fourth Proportional to 130,774.72, 180,507.72 and 77,077.12

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Solution

The fourth proportional to 130,774.72, 180,507.72 and 77,077.12 is: 106,389.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,774.72 : 180,507.72 = 77,077.12 : x
  2. Step 2: Convert to fraction form
    130,774.72/180,507.72 = 77,077.12/x
  3. Step 3: Cross multiply
    130,774.72x = 180,507.72 × 77,077.12
  4. Step 4: Simplify right side
    130,774.72x = 13,913,015,195.37
  5. Step 5: Solve for x
    x = 13,913,015,195.37/130,774.72
  6. Step 6: Final answer
    x = 106,389.18

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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.