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Finding the Fourth Proportional to 65,869.79, 90,900.14 and 35,655.08

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Solution

The fourth proportional to 65,869.79, 90,900.14 and 35,655.08 is: 49,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,869.79 : 90,900.14 = 35,655.08 : x
  2. Step 2: Convert to fraction form
    65,869.79/90,900.14 = 35,655.08/x
  3. Step 3: Cross multiply
    65,869.79x = 90,900.14 × 35,655.08
  4. Step 4: Simplify right side
    65,869.79x = 3,241,051,130.94
  5. Step 5: Solve for x
    x = 3,241,051,130.94/65,869.79
  6. Step 6: Final answer
    x = 49,203.91

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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.