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Finding the Fourth Proportional to 130,893, 180,632.70 and 74,313.24

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Solution

The fourth proportional to 130,893, 180,632.70 and 74,313.24 is: 102,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,893 : 180,632.70 = 74,313.24 : x
  2. Step 2: Convert to fraction form
    130,893/180,632.70 = 74,313.24/x
  3. Step 3: Cross multiply
    130,893x = 180,632.70 × 74,313.24
  4. Step 4: Simplify right side
    130,893x = 13,423,401,186.95
  5. Step 5: Solve for x
    x = 13,423,401,186.95/130,893
  6. Step 6: Final answer
    x = 102,552.48

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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.