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Finding the Fourth Proportional to 102,608.10, 153,912.15 and 47,312.10

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Solution

The fourth proportional to 102,608.10, 153,912.15 and 47,312.10 is: 70,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,608.10 : 153,912.15 = 47,312.10 : x
  2. Step 2: Convert to fraction form
    102,608.10/153,912.15 = 47,312.10/x
  3. Step 3: Cross multiply
    102,608.10x = 153,912.15 × 47,312.10
  4. Step 4: Simplify right side
    102,608.10x = 7,281,907,032.02
  5. Step 5: Solve for x
    x = 7,281,907,032.02/102,608.10
  6. Step 6: Final answer
    x = 70,968.15

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1.5x scale

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.