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Finding the Fourth Proportional to 70,602.88, 105,904.16 and 55,032

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Solution

The fourth proportional to 70,602.88, 105,904.16 and 55,032 is: 82,547.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,602.88 : 105,904.16 = 55,032 : x
  2. Step 2: Convert to fraction form
    70,602.88/105,904.16 = 55,032/x
  3. Step 3: Cross multiply
    70,602.88x = 105,904.16 × 55,032
  4. Step 4: Simplify right side
    70,602.88x = 5,828,117,733.12
  5. Step 5: Solve for x
    x = 5,828,117,733.12/70,602.88
  6. Step 6: Final answer
    x = 82,547.88

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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.