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Finding the Fourth Proportional to 76,442.02, 105,301.74 and 65,075.02

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Solution

The fourth proportional to 76,442.02, 105,301.74 and 65,075.02 is: 89,643.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,442.02 : 105,301.74 = 65,075.02 : x
  2. Step 2: Convert to fraction form
    76,442.02/105,301.74 = 65,075.02/x
  3. Step 3: Cross multiply
    76,442.02x = 105,301.74 × 65,075.02
  4. Step 4: Simplify right side
    76,442.02x = 6,852,512,836.53
  5. Step 5: Solve for x
    x = 6,852,512,836.53/76,442.02
  6. Step 6: Final answer
    x = 89,643.27

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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.