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Finding the Fourth Proportional to 70,783.61, 97,678.49 and 40,547.88

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Solution

The fourth proportional to 70,783.61, 97,678.49 and 40,547.88 is: 55,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,783.61 : 97,678.49 = 40,547.88 : x
  2. Step 2: Convert to fraction form
    70,783.61/97,678.49 = 40,547.88/x
  3. Step 3: Cross multiply
    70,783.61x = 97,678.49 × 40,547.88
  4. Step 4: Simplify right side
    70,783.61x = 3,960,655,488.36
  5. Step 5: Solve for x
    x = 3,960,655,488.36/70,783.61
  6. Step 6: Final answer
    x = 55,954.42

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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.