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Finding the Fourth Proportional to 210,732.50, 316,033.14 and 70,458.32

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Solution

The fourth proportional to 210,732.50, 316,033.14 and 70,458.32 is: 105,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,732.50 : 316,033.14 = 70,458.32 : x
  2. Step 2: Convert to fraction form
    210,732.50/316,033.14 = 70,458.32/x
  3. Step 3: Cross multiply
    210,732.50x = 316,033.14 × 70,458.32
  4. Step 4: Simplify right side
    210,732.50x = 22,267,164,108.72
  5. Step 5: Solve for x
    x = 22,267,164,108.72/210,732.50
  6. Step 6: Final answer
    x = 105,665.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.