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Finding the Fourth Proportional to 210,339.54, 315,038.76 and 97,851.20

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Solution

The fourth proportional to 210,339.54, 315,038.76 and 97,851.20 is: 146,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,339.54 : 315,038.76 = 97,851.20 : x
  2. Step 2: Convert to fraction form
    210,339.54/315,038.76 = 97,851.20/x
  3. Step 3: Cross multiply
    210,339.54x = 315,038.76 × 97,851.20
  4. Step 4: Simplify right side
    210,339.54x = 30,826,919,137.32
  5. Step 5: Solve for x
    x = 30,826,919,137.32/210,339.54
  6. Step 6: Final answer
    x = 146,557.89

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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.