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Finding the Fourth Proportional to 245,175, 367,762.50 and 78,963

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Solution

The fourth proportional to 245,175, 367,762.50 and 78,963 is: 118,444.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,175 : 367,762.50 = 78,963 : x
  2. Step 2: Convert to fraction form
    245,175/367,762.50 = 78,963/x
  3. Step 3: Cross multiply
    245,175x = 367,762.50 × 78,963
  4. Step 4: Simplify right side
    245,175x = 29,039,630,287.50
  5. Step 5: Solve for x
    x = 29,039,630,287.50/245,175
  6. Step 6: Final answer
    x = 118,444.50

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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.