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Finding the Fourth Proportional to 115,254, 159,051.74 and 64,953

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Solution

The fourth proportional to 115,254, 159,051.74 and 64,953 is: 89,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,254 : 159,051.74 = 64,953 : x
  2. Step 2: Convert to fraction form
    115,254/159,051.74 = 64,953/x
  3. Step 3: Cross multiply
    115,254x = 159,051.74 × 64,953
  4. Step 4: Simplify right side
    115,254x = 10,330,887,343.46
  5. Step 5: Solve for x
    x = 10,330,887,343.46/115,254
  6. Step 6: Final answer
    x = 89,635.82

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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.