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Finding the Fourth Proportional to 70,312.16, 105,541.14 and 47,100.80

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Solution

The fourth proportional to 70,312.16, 105,541.14 and 47,100.80 is: 70,700.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,312.16 : 105,541.14 = 47,100.80 : x
  2. Step 2: Convert to fraction form
    70,312.16/105,541.14 = 47,100.80/x
  3. Step 3: Cross multiply
    70,312.16x = 105,541.14 × 47,100.80
  4. Step 4: Simplify right side
    70,312.16x = 4,971,072,126.91
  5. Step 5: Solve for x
    x = 4,971,072,126.91/70,312.16
  6. Step 6: Final answer
    x = 70,700.03

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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.