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Finding the Fourth Proportional to 128,848.61, 193,065.14 and 69,712.13

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Solution

The fourth proportional to 128,848.61, 193,065.14 and 69,712.13 is: 104,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,848.61 : 193,065.14 = 69,712.13 : x
  2. Step 2: Convert to fraction form
    128,848.61/193,065.14 = 69,712.13/x
  3. Step 3: Cross multiply
    128,848.61x = 193,065.14 × 69,712.13
  4. Step 4: Simplify right side
    128,848.61x = 13,458,980,824.26
  5. Step 5: Solve for x
    x = 13,458,980,824.26/128,848.61
  6. Step 6: Final answer
    x = 104,455.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.