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Finding the Fourth Proportional to 196,875, 271,702.08 and 112,019.40

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Solution

The fourth proportional to 196,875, 271,702.08 and 112,019.40 is: 154,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,875 : 271,702.08 = 112,019.40 : x
  2. Step 2: Convert to fraction form
    196,875/271,702.08 = 112,019.40/x
  3. Step 3: Cross multiply
    196,875x = 271,702.08 × 112,019.40
  4. Step 4: Simplify right side
    196,875x = 30,435,903,980.35
  5. Step 5: Solve for x
    x = 30,435,903,980.35/196,875
  6. Step 6: Final answer
    x = 154,595.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.