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Finding the Fourth Proportional to 101,216.40, 151,824.60 and 31,095.60

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Solution

The fourth proportional to 101,216.40, 151,824.60 and 31,095.60 is: 46,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,216.40 : 151,824.60 = 31,095.60 : x
  2. Step 2: Convert to fraction form
    101,216.40/151,824.60 = 31,095.60/x
  3. Step 3: Cross multiply
    101,216.40x = 151,824.60 × 31,095.60
  4. Step 4: Simplify right side
    101,216.40x = 4,721,077,031.76
  5. Step 5: Solve for x
    x = 4,721,077,031.76/101,216.40
  6. Step 6: Final answer
    x = 46,643.40

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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.