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Finding the Fourth Proportional to 198,501.60, 297,838.80 and 100,005.60

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Solution

The fourth proportional to 198,501.60, 297,838.80 and 100,005.60 is: 150,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,501.60 : 297,838.80 = 100,005.60 : x
  2. Step 2: Convert to fraction form
    198,501.60/297,838.80 = 100,005.60/x
  3. Step 3: Cross multiply
    198,501.60x = 297,838.80 × 100,005.60
  4. Step 4: Simplify right side
    198,501.60x = 29,785,547,897.28
  5. Step 5: Solve for x
    x = 29,785,547,897.28/198,501.60
  6. Step 6: Final answer
    x = 150,051.93

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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.