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Finding the Fourth Proportional to 210,732, 316,032.39 and 70,457.82

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Solution

The fourth proportional to 210,732, 316,032.39 and 70,457.82 is: 105,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,732 : 316,032.39 = 70,457.82 : x
  2. Step 2: Convert to fraction form
    210,732/316,032.39 = 70,457.82/x
  3. Step 3: Cross multiply
    210,732x = 316,032.39 × 70,457.82
  4. Step 4: Simplify right side
    210,732x = 22,266,953,248.79
  5. Step 5: Solve for x
    x = 22,266,953,248.79/210,732
  6. Step 6: Final answer
    x = 105,664.79

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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.