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Finding the Fourth Proportional to 210,715.76, 316,038.36 and 70,473.92

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Solution

The fourth proportional to 210,715.76, 316,038.36 and 70,473.92 is: 105,699.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,715.76 : 316,038.36 = 70,473.92 : x
  2. Step 2: Convert to fraction form
    210,715.76/316,038.36 = 70,473.92/x
  3. Step 3: Cross multiply
    210,715.76x = 316,038.36 × 70,473.92
  4. Step 4: Simplify right side
    210,715.76x = 22,272,462,099.57
  5. Step 5: Solve for x
    x = 22,272,462,099.57/210,715.76
  6. Step 6: Final answer
    x = 105,699.08

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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.