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Finding the Fourth Proportional to 209,979, 314,968.50 and 62,235

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Solution

The fourth proportional to 209,979, 314,968.50 and 62,235 is: 93,352.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,979 : 314,968.50 = 62,235 : x
  2. Step 2: Convert to fraction form
    209,979/314,968.50 = 62,235/x
  3. Step 3: Cross multiply
    209,979x = 314,968.50 × 62,235
  4. Step 4: Simplify right side
    209,979x = 19,602,064,597.50
  5. Step 5: Solve for x
    x = 19,602,064,597.50/209,979
  6. Step 6: Final answer
    x = 93,352.50

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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.