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Finding the Fourth Proportional to 107,148, 147,853.51 and 64,118.78

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Solution

The fourth proportional to 107,148, 147,853.51 and 64,118.78 is: 88,477.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,148 : 147,853.51 = 64,118.78 : x
  2. Step 2: Convert to fraction form
    107,148/147,853.51 = 64,118.78/x
  3. Step 3: Cross multiply
    107,148x = 147,853.51 × 64,118.78
  4. Step 4: Simplify right side
    107,148x = 9,480,186,679.92
  5. Step 5: Solve for x
    x = 9,480,186,679.92/107,148
  6. Step 6: Final answer
    x = 88,477.50

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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.