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Finding the Fourth Proportional to 210,518.98, 315,557.88 and 98,106.46

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Solution

The fourth proportional to 210,518.98, 315,557.88 and 98,106.46 is: 147,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,518.98 : 315,557.88 = 98,106.46 : x
  2. Step 2: Convert to fraction form
    210,518.98/315,557.88 = 98,106.46/x
  3. Step 3: Cross multiply
    210,518.98x = 315,557.88 × 98,106.46
  4. Step 4: Simplify right side
    210,518.98x = 30,958,266,531.90
  5. Step 5: Solve for x
    x = 30,958,266,531.90/210,518.98
  6. Step 6: Final answer
    x = 147,056.89

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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.