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Finding the Fourth Proportional to 206,897.10, 310,345.65 and 122,916.30

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Solution

The fourth proportional to 206,897.10, 310,345.65 and 122,916.30 is: 184,374.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,897.10 : 310,345.65 = 122,916.30 : x
  2. Step 2: Convert to fraction form
    206,897.10/310,345.65 = 122,916.30/x
  3. Step 3: Cross multiply
    206,897.10x = 310,345.65 × 122,916.30
  4. Step 4: Simplify right side
    206,897.10x = 38,146,539,019.10
  5. Step 5: Solve for x
    x = 38,146,539,019.10/206,897.10
  6. Step 6: Final answer
    x = 184,374.45

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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.