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Finding the Fourth Proportional to 65,507, 90,400.02 and 35,699

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Solution

The fourth proportional to 65,507, 90,400.02 and 35,699 is: 49,264.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507 : 90,400.02 = 35,699 : x
  2. Step 2: Convert to fraction form
    65,507/90,400.02 = 35,699/x
  3. Step 3: Cross multiply
    65,507x = 90,400.02 × 35,699
  4. Step 4: Simplify right side
    65,507x = 3,227,190,313.98
  5. Step 5: Solve for x
    x = 3,227,190,313.98/65,507
  6. Step 6: Final answer
    x = 49,264.82

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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.