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Finding the Fourth Proportional to 210,970.57, 316,031.82 and 98,495.59

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Solution

The fourth proportional to 210,970.57, 316,031.82 and 98,495.59 is: 147,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,970.57 : 316,031.82 = 98,495.59 : x
  2. Step 2: Convert to fraction form
    210,970.57/316,031.82 = 98,495.59/x
  3. Step 3: Cross multiply
    210,970.57x = 316,031.82 × 98,495.59
  4. Step 4: Simplify right side
    210,970.57x = 31,127,740,569.67
  5. Step 5: Solve for x
    x = 31,127,740,569.67/210,970.57
  6. Step 6: Final answer
    x = 147,545.42

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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.