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Finding the Fourth Proportional to 102,477.87, 153,746.57 and 42,495.35

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Solution

The fourth proportional to 102,477.87, 153,746.57 and 42,495.35 is: 63,755.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,477.87 : 153,746.57 = 42,495.35 : x
  2. Step 2: Convert to fraction form
    102,477.87/153,746.57 = 42,495.35/x
  3. Step 3: Cross multiply
    102,477.87x = 153,746.57 × 42,495.35
  4. Step 4: Simplify right side
    102,477.87x = 6,533,513,640.96
  5. Step 5: Solve for x
    x = 6,533,513,640.96/102,477.87
  6. Step 6: Final answer
    x = 63,755.36

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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.