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Finding the Fourth Proportional to 194,987.84, 292,421.28 and 70,312.64

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Solution

The fourth proportional to 194,987.84, 292,421.28 and 70,312.64 is: 105,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,987.84 : 292,421.28 = 70,312.64 : x
  2. Step 2: Convert to fraction form
    194,987.84/292,421.28 = 70,312.64/x
  3. Step 3: Cross multiply
    194,987.84x = 292,421.28 × 70,312.64
  4. Step 4: Simplify right side
    194,987.84x = 20,560,912,188.98
  5. Step 5: Solve for x
    x = 20,560,912,188.98/194,987.84
  6. Step 6: Final answer
    x = 105,447.15

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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.