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Finding the Fourth Proportional to 128,038.98, 176,698.60 and 71,461.28

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Solution

The fourth proportional to 128,038.98, 176,698.60 and 71,461.28 is: 98,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,038.98 : 176,698.60 = 71,461.28 : x
  2. Step 2: Convert to fraction form
    128,038.98/176,698.60 = 71,461.28/x
  3. Step 3: Cross multiply
    128,038.98x = 176,698.60 × 71,461.28
  4. Step 4: Simplify right side
    128,038.98x = 12,627,108,130.21
  5. Step 5: Solve for x
    x = 12,627,108,130.21/128,038.98
  6. Step 6: Final answer
    x = 98,619.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.