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Finding the Fourth Proportional to 70,094.80, 105,045.72 and 30,684.88

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Solution

The fourth proportional to 70,094.80, 105,045.72 and 30,684.88 is: 45,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,094.80 : 105,045.72 = 30,684.88 : x
  2. Step 2: Convert to fraction form
    70,094.80/105,045.72 = 30,684.88/x
  3. Step 3: Cross multiply
    70,094.80x = 105,045.72 × 30,684.88
  4. Step 4: Simplify right side
    70,094.80x = 3,223,315,312.71
  5. Step 5: Solve for x
    x = 3,223,315,312.71/70,094.80
  6. Step 6: Final answer
    x = 45,985.08

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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.