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Finding the Fourth Proportional to 99,950.76, 138,035.34 and 86,457.24

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Solution

The fourth proportional to 99,950.76, 138,035.34 and 86,457.24 is: 119,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,950.76 : 138,035.34 = 86,457.24 : x
  2. Step 2: Convert to fraction form
    99,950.76/138,035.34 = 86,457.24/x
  3. Step 3: Cross multiply
    99,950.76x = 138,035.34 × 86,457.24
  4. Step 4: Simplify right side
    99,950.76x = 11,934,154,518.86
  5. Step 5: Solve for x
    x = 11,934,154,518.86/99,950.76
  6. Step 6: Final answer
    x = 119,400.34

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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.