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Finding the Fourth Proportional to 128,582.56, 177,415.28 and 77,603.60

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Solution

The fourth proportional to 128,582.56, 177,415.28 and 77,603.60 is: 107,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,582.56 : 177,415.28 = 77,603.60 : x
  2. Step 2: Convert to fraction form
    128,582.56/177,415.28 = 77,603.60/x
  3. Step 3: Cross multiply
    128,582.56x = 177,415.28 × 77,603.60
  4. Step 4: Simplify right side
    128,582.56x = 13,768,064,423.01
  5. Step 5: Solve for x
    x = 13,768,064,423.01/128,582.56
  6. Step 6: Final answer
    x = 107,075.68

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1.5x scale

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.