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Finding the Fourth Proportional to 185,802.16, 256,407.06 and 100,921

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Solution

The fourth proportional to 185,802.16, 256,407.06 and 100,921 is: 139,271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,802.16 : 256,407.06 = 100,921 : x
  2. Step 2: Convert to fraction form
    185,802.16/256,407.06 = 100,921/x
  3. Step 3: Cross multiply
    185,802.16x = 256,407.06 × 100,921
  4. Step 4: Simplify right side
    185,802.16x = 25,876,856,902.26
  5. Step 5: Solve for x
    x = 25,876,856,902.26/185,802.16
  6. Step 6: Final answer
    x = 139,271.02

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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.