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Finding the Fourth Proportional to 64,970.64, 97,461 and 20,599.92

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Solution

The fourth proportional to 64,970.64, 97,461 and 20,599.92 is: 30,901.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,970.64 : 97,461 = 20,599.92 : x
  2. Step 2: Convert to fraction form
    64,970.64/97,461 = 20,599.92/x
  3. Step 3: Cross multiply
    64,970.64x = 97,461 × 20,599.92
  4. Step 4: Simplify right side
    64,970.64x = 2,007,688,803.12
  5. Step 5: Solve for x
    x = 2,007,688,803.12/64,970.64
  6. Step 6: Final answer
    x = 30,901.48

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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.