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Finding the Fourth Proportional to 105,459.74, 145,533.88 and 57,712.98

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Solution

The fourth proportional to 105,459.74, 145,533.88 and 57,712.98 is: 79,643.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,459.74 : 145,533.88 = 57,712.98 : x
  2. Step 2: Convert to fraction form
    105,459.74/145,533.88 = 57,712.98/x
  3. Step 3: Cross multiply
    105,459.74x = 145,533.88 × 57,712.98
  4. Step 4: Simplify right side
    105,459.74x = 8,399,193,905.76
  5. Step 5: Solve for x
    x = 8,399,193,905.76/105,459.74
  6. Step 6: Final answer
    x = 79,643.61

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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.