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Finding the Fourth Proportional to 98,400.04, 147,643.28 and 51,642

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Solution

The fourth proportional to 98,400.04, 147,643.28 and 51,642 is: 77,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400.04 : 147,643.28 = 51,642 : x
  2. Step 2: Convert to fraction form
    98,400.04/147,643.28 = 51,642/x
  3. Step 3: Cross multiply
    98,400.04x = 147,643.28 × 51,642
  4. Step 4: Simplify right side
    98,400.04x = 7,624,594,265.76
  5. Step 5: Solve for x
    x = 7,624,594,265.76/98,400.04
  6. Step 6: Final answer
    x = 77,485.68

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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.