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Finding the Fourth Proportional to 147,866.40, 221,756.40 and 53,085.60

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Solution

The fourth proportional to 147,866.40, 221,756.40 and 53,085.60 is: 79,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,866.40 : 221,756.40 = 53,085.60 : x
  2. Step 2: Convert to fraction form
    147,866.40/221,756.40 = 53,085.60/x
  3. Step 3: Cross multiply
    147,866.40x = 221,756.40 × 53,085.60
  4. Step 4: Simplify right side
    147,866.40x = 11,772,071,547.84
  5. Step 5: Solve for x
    x = 11,772,071,547.84/147,866.40
  6. Step 6: Final answer
    x = 79,612.89

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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.