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Finding the Fourth Proportional to 97,804.74, 134,961.20 and 77,710.26

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Solution

The fourth proportional to 97,804.74, 134,961.20 and 77,710.26 is: 107,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,804.74 : 134,961.20 = 77,710.26 : x
  2. Step 2: Convert to fraction form
    97,804.74/134,961.20 = 77,710.26/x
  3. Step 3: Cross multiply
    97,804.74x = 134,961.20 × 77,710.26
  4. Step 4: Simplify right side
    97,804.74x = 10,487,869,941.91
  5. Step 5: Solve for x
    x = 10,487,869,941.91/97,804.74
  6. Step 6: Final answer
    x = 107,232.74

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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.