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Finding the Fourth Proportional to 157,859, 237,854.16 and 130,394.32

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Solution

The fourth proportional to 157,859, 237,854.16 and 130,394.32 is: 196,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,859 : 237,854.16 = 130,394.32 : x
  2. Step 2: Convert to fraction form
    157,859/237,854.16 = 130,394.32/x
  3. Step 3: Cross multiply
    157,859x = 237,854.16 × 130,394.32
  4. Step 4: Simplify right side
    157,859x = 31,014,831,452.37
  5. Step 5: Solve for x
    x = 31,014,831,452.37/157,859
  6. Step 6: Final answer
    x = 196,471.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.