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Finding the Fourth Proportional to 64,970.40, 97,457.10 and 31,685.88

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Solution

The fourth proportional to 64,970.40, 97,457.10 and 31,685.88 is: 47,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970.40 : 97,457.10 = 31,685.88 : x
  2. Step 2: Convert to fraction form
    64,970.40/97,457.10 = 31,685.88/x
  3. Step 3: Cross multiply
    64,970.40x = 97,457.10 × 31,685.88
  4. Step 4: Simplify right side
    64,970.40x = 3,088,013,975.75
  5. Step 5: Solve for x
    x = 3,088,013,975.75/64,970.40
  6. Step 6: Final answer
    x = 47,529.55

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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.